Advertisements
Advertisements
प्रश्न
The bisectors of base angles of a triangle cannot enclose a right angle in any case.
Advertisements
उत्तर
In a ABC
Sum of all angles of triangles is `180^@`
i.e, `∠ A+∠ B+∠C =180^@` divide both sides by `2`
⇒ `1/2∠A+1/2∠B+1/2∠C=180^@`
⇒`1/2∠A+∠OBC+∠OBC=90^@` [∵ OB,OC insects ∠B and ∠C]
⇒`∠OBC+∠OCB=90^@-1/2A`
Now in `Δ OCB=180^@`
`∴ ∠ BOC+∠OBC+∠OCB=180^@`
⇒`∠ BOC+90^@-1/2∠A=180^@`
⇒ `∠ BOC=90^@-1/2 ∠A`
Hence, bisectors of a base angle cannot enclose right angle.
APPEARS IN
संबंधित प्रश्न
Is the following statement true and false :
All the angles of a triangle can be less than 60°
Fill in the blank to make the following statement true:
An exterior angle of a triangle is equal to the two ....... opposite angles.
In a Δ ABC, the internal bisectors of ∠B and ∠C meet at P and the external bisectors of ∠B and ∠C meet at Q, Prove that ∠BPC + ∠BQC = 180°.
In the given figure, AE bisects ∠CAD and ∠B= ∠C. Prove that AE || BC.
In ΔABC, ∠B = ∠C and ray AX bisects the exterior angle ∠DAC. If ∠DAX = 70°, then ∠ACB =
Find x, if the angles of a triangle is:
x°, 2x°, 2x°
Classify the following triangle according to sides:
Classify the following triangle according to angle:
In the following figure, l || m and M is the mid-point of a line segment AB. Show that M is also the mid-point of any line segment CD, having its end points on l and m, respectively.
Jincy used these shapes to make drawings of fish.
Now you also use some shapes to draw the different sea animals shown below.
Sea urchin
Lobster
Eel
Red snapper
Octopus
Clam
Parrotfish
Prawn
Cuttlefish
Jellyfish
Squid
Silver pomfret
Crab
